Multi-valued symbolic model-checking

ACM Transactions on Software Engineering and Methodology

Volumn 12, Issue 4, 2003, Pages 371-408

  Chechik, Marsha ^a   Devereux, Benet ^a   Easterbrook, Steve ^a   Gurfinkel, Arie ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

Chek; CTL; Fairness; Inconsistency; Model checking; Multi valued logic; Partiality

Indexed keywords

ΧCHECK; CTL; FAIRNESS; INCONSISTENCY; MODEL-CHECKING; MULTI-VALUED LOGIC; PARTIALITY;

APPROXIMATION THEORY; FINITE ELEMENT METHOD; PROBABILITY DISTRIBUTIONS; SEMANTICS; SET THEORY; SOFTWARE ENGINEERING;

MANY VALUED LOGICS;

EID: 0038619995     PISSN: 1049331X     EISSN: None     Source Type: Journal    
DOI: 10.1145/990010.990011     Document Type: Article

References (60)

1. ANDERSON, A. AND BELNAP, N. 1975. Entailment. Vol. 1. Princeton University Press.
2. BACK, R.-J. AND VON WRIGHT, J. 1998. Refinement Calculus: A Systematic Approach. Springer-Verlag.
3. BAHAR, R., FROHM, E., GAONA, C., HACHTEL, G., MACH, E., PARDO, A., AND SOMENZI, F. 1993. Algebraic decision diagrams and their applications. In IEEE/ACM International Conference on ComputerAided Disign (ICCAD'93) (Santa Clara, CA). IEEE Computer Society Press, pp. 188-191.
4. BAIER, C. AND CLARKE, E. M. 1998. The algebraic Mu-calculus and MTBDDs. In Proceedings of the 5th Workshop on Logic, Language, Information and Computation, (WoLLIC'98), pp. 27-38.
5. BAIER, C., CLARKE, E. M., HAHTONAS-GAHMHAUSEN, V., KWIATKOWSKA, M. Z., AND RYAN, M. 1997. Symbolic model checking for probabilistic processes. In Automata, Languages and Programming, 24th Annual Colloquium, (Bologna, Italy). P. Degano, R. Gorrieri, and A. Marchetti-Spaccamela, eds., Lecture Notes in Computer Science, vol. 1256, Springer, pp. 430-440.
6. BELNAP, N. 1977. A useful four-valued logic. In Modern Uses of Multiple-Valued Logic, Donn and Epstein, eds., Reidel, pp. 30-56.
7. BERNEY, G. AND DOS SANTOS, S. 1985. Elevator Analysis, Design and Control. IEE Control Engineering Series 2. Peter Peregrinus Ltd.
8. BIRKHOFF, G. 1967. Lattice Theory (3rd Edition). Americal Mathematical Society, Providence, RI.
9. BOLC, L. AND BOROWIK, P. 1992. Many-Valued Logics. Springer-Verlag.
10. BRUNS, G. AND GODEFROID, P. 1999. Model checking partial state spaces with 3-valued temporal logics. In Proceedings of the 11th International Conference on Computer-Aided Verification (CAV'99), (Trento, Italy). Lecture Notes in Computer Science, vol. 1633, Springer, pp. 274-287.
11. BRUNS, G. AND GODEFROID, P. 2000. Generalized model checking: Reasoning about partial state spaces. In Proceedings of the 11th International Conference on Concurrency Theory (CONCUR'00), C. Palamidessi, eds., Lecture Notes in Computer Science, vol. 1877, Springer, pp. 168-182.
12. CHAN, W. 2000. Temporal-logic queries. In Proceedings of the 12th Conference on Computer Aided Verification (CAV'00), E. Emerson and A. Sistla, eds., Lecture Notes in Computer Science, vol. 1855, Springer, pp. 450-463.
13. CHECHIK, M., DEVEREUX, B., AND EASTERBROOK, S. 2001a. Implementing a multi-valued symbolic model-checker. In Proceedings of the 7th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS'01), Lecture Notes in Computer Science, vol. 2031, Springer, pp. 404-419.
14. CHECHIK, M., DEVEREUX, B., AND GURFINKEL, A. 2001b. Model-checking infinite state-space systems with fine-grained abstractions using SPIN. In Proceedings of the 8th SPIN Workshop on Model Checking Software, Toronto, Canada. Lecture Notes in Computer Science, vol. 2057, Springer, pp. 16-36.
15. CHECHIK, M., DEVEREUX, B., AND GURFINKEL, A. 2002a. XChek: a multi-valued model-checker. In Proceedings of the 14th International Conference on Computer-Aided Verification (CAV'02), Copenhagen, Denmark. Lecture Notes in Computer Science, Springer, pp. 505-509.
16. CHECHIK, M. AND DING, W. 2002. Lightweight reasoning about program correctness. Inf. Syst. Frontiers, 4, 4, pp. 363-377.
17. CHECHIK, M., GURFINKEL, A., DEVEREUX, B., LAI, A., AND EASTERBROOK, S. 2002b. Symbolic data structures for multi-valued model-checking. CSRG Tech Report 446, University of Toronto. Submitted for publication.
18. CHECHIK, M. AND MACCAULL, W. 2003. CTL model-checking over logics with non-classical negation. In Proceedings of the 33rd IEEE International Symposium on Multi-Valued Logics (ISMVL'03) (Tokyo, Japan), pp. 293-300.
19. CLARKE, E., EMERSON, E., AND SISTLA, A. 1986. Automatic verification of finite-state concurrent systems using temporal logic specifications, ACM Trans. Program. Lang. Syst., 8, 2, pp. 244-263.
20. CLARKE, E., GRUMBERG, O., AND PELBD, D. 1999. Model Checking. MIT Press.
21. COUSOT, P. AND COUSOT, R. 1977. Abstract Interpretation: A unified lattice model for static analysis of programs by construction or approximation of fixpoints. In Conference Record of the 4th Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (POPL'77) (Los Angeles, CA). ACM Press, pp. 238-252.
22. DAMS, D. 1996. Abstract Interpretation and Partition Refinement for Model Checking. PhD Thesis, Eindhoven University of Technology, The Netherlands.
23. DAMS, D., GERTH, R., AND GRUMBERG, O. 1997. Abstract interpretation of reactive systems. ACM Trans. Program. Lang. Syst., 2, 19, pp. 253-291.
24. DAVEY, B. AND PRIESTLEY, H. 1990. Introduction to Lattices and Order. Cambridge University Press.
25. DEVEREUX, B. 2002. Strong next-time operators for multiple-valued μ-calculus. In Proceedings of FLOC'02 Workshop on Fixpoints in Computer Science (FICS) (Copenhagen, Denmark), pp. 40-43.
26. DUNN, J. 1999. A comparative study of various model-theoretic treatments of negation: a history of formal negation. In What is Negation, D. Gabbay and H. Wansing, eds., Kluwer Academic Publishers.
27. EASTERBROOK, S. AND CHECHIK, M. 2001. A framework for multi-valued reasoning over inconsistent viewpoints. In Proceedings of the International Conference on Software Engineering (ICSE'01) (Toronto, Canada), IEEE Computer Society Press, pp. 411-420.
28. FITTING, M. 1991a. Many-valued modal logics. Fund. Info., 15, 3-4, pp. 335-350.
29. FITTING, M. C. 1991b. Kleene's logic, generalized. J. Log. Comput., 1, 6, pp. 797-810.
30. FITTING, M. 1992. Many-valued modal logics II. Fund. Info., 17, pp. 55-73.
31. GAINES, B. R. 1979. Logical foundations for database systems. Intern. J. Man-Mach. Studies, 11, 4, pp. 481-500.
32. GINSBERG, M. 1987. Multi-valued logic. In Readings in Nonmonotonic Reasoning, M. Ginsberg, ed., Morgan-Kaufmann Publishing, pp. 251-255.
33. GINSBEHG, M. L. 1988. Multivalued logics: a uniform approach to reasoning in artificial intelligence. Comput. Intell., 4, 3, pp. 265-316.
34. GODEFROTD, P., HUTH, M., AND JAGADEESAN, R. 2001. Abstraction-based model checking using modal transition systems. In Proceedings of the 12th International Conference on Concurrency Theory (CONCUR'01) (Aalborg, Denmark), K. Larsen and M. Nielsen, eds., Lecture Notes in Computer Science, vol. 2154, Springer, pp. 426-440.
35. GODEFROID, P. AND JAGADEESAN, R. 2003. On the expressiveness of 3-valued models. In Proceedings of the 4th International Conference on Verification, Model Checking, and Abstract Interpretation (VMCAI'03), Lecture Notes in Computer Science, vol. 2575, Springer, pp. 206-222.
36. GOGUEN, J. 1967. L-fuzzy sets. J. Math. Anal. Applic., 18, 1, pp. 145-174.
37. GURFINKEL, A. 2002. Multi-valued symbolic model-checking: fairness, counter-examples, running time. Master's Thesis, Department of Computer Science, University of Toronto.
38. GURFINKEL, A. AND CHECHIK, M. 2003a. Generating counterexamples for multi-valued modelchecking. In Proceedings of Formal Methods Europe (FME'03), Pisa, Italy.
39. GURFINKEL, A. AND CHECHIK, M. 2003b. Multi-valued model-checking via classical model-checking. In Proceedings of the 14th International Conference on Concurrency Theory (CONCUR'03), Marseille, France.
40. GURFINKEL, A., CHECHIK, M., AND DEVEREUX, B. 2003. Temporal logic query checking: a tool for model exploration. IEEE Trans. Softw. Eng. 29, 10, pp. 898-914.
41. Hähnle, R. 1994. Automated Deduction in Multiple-Valued Logics, International Series of Monographs on Computer Science, vol. 10, Oxford University Press.
42. HAZELHURST, S. 1996. Compositional Model Checking of Partially Ordered State Spaces. PhD Thesis, Department of Computer Science, University of British Columbia.
43. HEHNER, E. 1993. A Practical Theory of Programming. Texts and Monographs in Computer Science. Springer-Verlag, New York.
44. HUTH, M., JAGADEESAN, R., AND SCHMIDT, D. 2003. A domain equation for refinement of partial systems. Math. Struct. Comput. Sci. Accepted for publication.
45. HUTH, M., JAGADEESAN, R., AND SCHMIDT, D. A. 2001. Modal transition systems: a foundation for three-valued program analysis. In Proceedings of the 10th European Symposium on Programming (ESOP'01), Lecture Notes in Computer Science, vol. 2028, Springer, pp. 155-169.
46. HUTH, M. AND PRADHAN, S. 2003. An ontology for consistent partial model checking. Elect. Notes Theoret. Comput. Sci., 23.
47. HUTH, M. AND RYAN, M. 2000. Logic in Computer Science: Modeling and Reasoning About Systems. Cambridge University Press.
48. KLEENE, S. C. 1952. Introduction to Metamathematics. Van Nostrand, New York.
49. KONIKOWSKA, B. AND PENCZEK, W. 2003. Model checking for multi-valued computation tree logics. In Beyond Two: Theory and Applications of Multiple Valued Logic, M. Fitting and E. Orlowska, eds., Physica-Verlag, pp. 193-210.
50. KOZEN, D. 1983. Results on the propositional μ-calculus. Theoret. Comput. Sci., 27, pp. 334-354.
51. LARSEN, K. AND THOMSEN, B. 1988. A modal process logic. In Proceedings of the 3rd Annual Symposium on Logic in Computer Science (LICS'88), IEEE Computer Society Press, pp. 203-210.
52. LUKASIEWICZ, J. 1970. Selected Works. North-Holland, Amsterdam, Holland.
53. McMILLAN, K. 1993. Symbolic Model Checking. Kluwer Academic.
54. MICHALSKI, R. S. 1977. Variable-valued logic and its applications to pattern recognition and machine learning. In Computer Science and Multiple-Valued Logic: Theory and Applications, D. C. Rine, eds., North-Holland, Amsterdam, pp. 506-534.
55. PLATH, M. AND RYAN, M. 1999. SFI: a feature integration tool. In Tool Support for System Specification, Development and Verification, R. Berghammer and Y. Lakhnech, eds., Advances in Computer Science, Springer, pp. 201-216.
56. RASIOWA, H. 1978. An Algebraic Approach to Non-Classical Logics. Studies in Logic and the Foundations of Mathematics. Amsterdam: North-Holland.
57. SAGIV, M., REPS, T., AND WILHELM, R. 1999. Parametric shape analysis via 3-valued logic. In Proceedings of the 26th Annual ACM Symposium on Principles of Programming Languages. ACM, New York, NY, pp. 105-118.
58. SASAO, T. AND BUTLER, J. 1996. A method to represent multiple-output switching functions using multi-valued decision diagrams. In Proceedings of IEEE International Symposium on Multiple-Valued Logic (ISMVL'96) (Santiago de Compostela, Spain), pp. 248-254.
59. SOFRONIE-STOKKERMANS, V. 2001. Automated theorem proving by resolution for finitely-valued logics based on distributive lattices with operators. An Intern. J. Multip. Val. Log. 6, 3-4, pp. 289-344.
60. SRINIVASAN, A., KAM, T., MALIK, S., AND BRAYTON, R. 1990. Algorithms for discrete function manipulation. In IEEE/ACM International Conference on Computer-Aided Design (ICCAD'90) (Santa Clara, CA). IEEE Computer Society, pp. 92-95.